|
| related topics |
| {group, space, representation} |
| {field, particle, equation} |
| {phase, path, phys} |
| {let, theorem, proof} |
| {observables, space, algebra} |
| {particle, mechanics, theory} |
|
Topological Factors Derived From Bohmian Mechanics
Detlef Duerr, Sheldon Goldstein, James Taylor, Roderich Tumulka, Nino Zanghi
abstract: We derive for Bohmian mechanics topological factors for quantum systems with
a multiply-connected configuration space Q. These include nonabelian factors
corresponding to what we call holonomy-twisted representations of the
fundamental group of Q. We employ wave functions on the universal covering
space of Q. As a byproduct of our analysis, we obtain an explanation, within
the framework of Bohmian mechanics, of the fact that the wave function of a
system of identical particles is either symmetric or anti-symmetric.
- oai_identifier:
- oai:arXiv.org:quant-ph/0601076
- categories:
- quant-ph
- comments:
- 17 pages, no figures
- doi:
- 10.1007/s00023-006-0269-5
- arxiv_id:
- quant-ph/0601076
- journal_ref:
- Annales Henri Poincare 7 (2006) 791-807
- created:
- 2006-01-11
Full article ▸
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